Finite Element Analysis of Tibial Implants — Effect of Fixation Design and Friction Model

References

• Peters , C. L. and Rosenberg , A. G. , ( 1995 ). Bone ingrowth and total knee replacement . The knee , 1 , 189 – 196 .
   Google Scholar
• Huiskes , R. and Chao , E. Y. S. ,( 1983 ). A survey of finite element analysis in orthopaedic biomechanics the first decade . Journal of Biomechanics , 16 , 385 – 409 .
   PubMed Web of Science ®Google Scholar
• Askew , M. J. and Lewis , J. L. , ( 1981 ). Analysis of model variables and fixation post length effects on stresses around a prosthesis in the proximal tibia . Journal of Biomechanicai Engineering , 103 , 239 – 245 .
   PubMed Web of Science ®Google Scholar
• Beaupre , G. S. , Vasu , R. , Carter , D. R. and Schurman , D. J. , ( 1986 ). Epiphyseal-based designs for tibial plateau compo-nents-ii, stress analysis in the sagittal plane . Journal of Biomechanics , 19 , 663 – 673 .
   PubMed Web of Science ®Google Scholar
• Lewis , J. U. , Askew , M.J. and Jayeox , D. P. , ( 1982 ). A comparative evaluation of tibial component designs of total knee prostheses . The Journal of Bone and Joint Surgery , 64A , 129 – 135 .
   Google Scholar
• Rakotomanana , R. L. , Leyvraz , P. F. , Curnier , A. , Hee-gaard , J. H. and Rubin , P. J. , ( 1992 ). A finite element model for evaluation of tibial prosthesis-bone interface in total knee replacement . Journal of Biomechanics , 25 , 1413 – 1424 .
   PubMed Web of Science ®Google Scholar
• Vasu , R. , Carter , D. R. , Schurman , D. J. and Beaupre , G. S. , ( 1986 ). Epiphyseal-based designs for tibial plateau components-!, stress analysis in the frontal plane . Journal of Biomechanics , 19 , 647 – 662 .
   PubMed Web of Science ®Google Scholar
• Ahmed , A. M. , Tissakht , M. , Shirvastava , S. C. and Chan , K. , ( 1990 ). Dynamic stress response of the implant/cement interface An axisymmetric analysis of a knee tibial component . Journal of Orthopaedic Research , 8 , 435 – 447 .
   PubMed Web of Science ®Google Scholar
• Dawson , J. M. and Battel , D. L. , ( 1992 ). Consequences of an interface fit on the fixation of porous-coated tibial components in total knee replacement . The Journal of Bone and Joint Surgery , 74A , 233 – 238 .
   Web of Science ®Google Scholar
• Murase , K. , Crowninshield , R. D. , Pedersen , D. R. and Chang , T. S. , ( 1983 ). An analysis of tibial component design in total knee arthroplasty . Journal of Biomechanics. , 16. 13 – 22 .
   PubMed Web of Science ®Google Scholar
• Shirazi-Adl , A. and Ahmed , A. M. , ( 1989 ). A parametric axisymmetric study on the interface motions in porous-surfaced tibial implant . Annuals of Biomedical Engineering , 17, 411 – 421 .
   PubMed Web of Science ®Google Scholar
• Keja , M. , Wevers , H. W. , Siu , D. and Grootenboer , H. , ( 1994 ). Relative motion at the bone-prosthesis interface . Clinical Biomechanics , 9 , 275 – 283 .
   PubMed Web of Science ®Google Scholar
• Natarajan , R. and Andriacchi , T. P. , ( 1989 ). New analytical method for the analysis of bone ingrowth in porous tibial component . San Diego , ASME Biomechanics Symposium , 281 – 284 .
   Google Scholar
• Rakotomanana , R. L. , Leyvraz , P. F. , Curnier , A. , Meis-ter , J.-J. and Livio , J.-J. , ( 1994 ). Comparison of tibial fixation in total knee arthroplasty An evaluation of stress distribution and interface micromotions . The Knee , 1 , 91 – 99 .
   Google Scholar
• Strickland , A. B. , Natarajan , R. and Andriacchi , T. P. , ( 1989 ). Transverse motion at the interface between the tibial component and bone in a total replacement an analytical model . AMD ( ASME, Applied Mechanics Division) Biomechanics Symposium, Third joint ASCE/ASME Mechanics Conference , 285 – 288 .
   Google Scholar
• Tissakht , A. , Eskandari , H. and Ahmed , A. M. , ( 1995 ). Micromotion analysis of the fixation of total knee tibial component . Computers and Structures , 56 , 365 – 375 .
   Google Scholar
• Cheal , E. J. , Hayes, W. C, Lee , C. H. , Snyder , B. D. and Miller , J. , ( 1985 ). Stress analysis of a condylar knee tibial component Influence of metaphyseal shell properties and cement injection depth . Journal of Orthopaedic Research , 3 , 424 – 434 .
   PubMed Web of Science ®Google Scholar
• Dammak , D. , Shirazi-Adl , A. and Zukor , D. J. , ( 1997 ). Analysis of cementless implants using interface nonlinear friction - Experimental and finite element studies . Journal of Biomechanics , 30 , 121 – 129 .
   PubMed Web of Science ®Google Scholar
• Rancout , D. , Shirazi-Adl , A. , Drouin , G. and Paiment , G. , ( 1990 ). Friction properties of the interface between porous-surfaced metals and tibial cancellous bone . J. Biomed. Mater. Res. , 24 , 1503 – 1519 .
   PubMed Web of Science ®Google Scholar
• Shirazi-Adl , A. , Dammak , M. and Paiement , G. , ( 1993 ). Experimental determination of friction characteristics at the trabecular bone/porous-coated metal interface in cementless implants . Journal of Biomedical Materials Research , 27 , 167 – 175 .
   PubMed Web of Science ®Google Scholar
• Hashemi , A. , Shirazi-Adl , A. and Dammak , M. , ( 1996 ). Bi-directional friction study of cancellous bone-porous coated metal interface . Journal of Biomedical Materials Research(Applied Biomaterials) , 33 , 257 – 267 .
   PubMed Web of Science ®Google Scholar
• Nolan , J. F. and Bucknill , T. M. , ( 1992 ). Aggressive granulomatosis from polyethylene failure in an uncemented knee replacement . The Journal of Bone and Joint Surgery , 74B , 23 – 24 .
   Google Scholar
• Wright , T. M. and Bartel , D. L. , ( 1986 ). The problem of surface damage in polyethylene total knee components . Clinical Orthopaedics and Related Research , 205 , 67 – 74 .
   PubMed Web of Science ®Google Scholar
• Rose , R. M. , Ries , M. D. , Paul , I. L. , Crugnola , A. M. and Ellis , E. , ( 1984 ). On the true wear rate of ultrahigh molecular weight polyethylene in the total knee prosthesis . Journal of Biomedical Materials Research , 18(2), 207 – 224 .
   Web of Science ®Google Scholar
• Kilgus , D. J. , Moreland , J. R. , Finerman , G. A. M. , Funa-hashi , T. T. and Tipton , J. S. , ( 1991 ). Catastrophic wear of tibial polyethylene inserts . Clinical Orthopaedics and Related Research , 273 , 223 – 231 .
   Google Scholar
• Jones , S. M. G. , Pinder , I. M. , Moran , C. G. and Malcolm , A. J. , ( 1992 ). Polyethylene wear in uncemented knee replacements . The Journal of Bone and Joint Surgery , 74B, 18 – 22 .
   Web of Science ®Google Scholar
• Tanner , M. G. , Whiteside , L. A. and White , S. E. , ( 1995 ). Effect of polyethylene quality on wear in total knee arthroplasty . Clinical Orthopaedics and Related Research , 317 , 83 – 88 .
   Google Scholar
• Walker , P. S. , Blunn , G. W. and Lilley , A. , ( 1996 ). Wear testing of materials and surfaces for total knee replacement . Journal of Biomedical Materials Research (Applied Biomaterials) , 33 , 159 – 175 .
   Web of Science ®Google Scholar
• Pruitt , L. , Bailey , L. and Nassiri , R. , ( 1997 ). The role of manufacturing process on the fatigue crack propagation resistance of medical grade ultra high molecular weight polyethylene . 43rd Annual Meeting, Orthopaedic Research Society , 790 .
   Google Scholar
• Bell , C. J. , Simmons , J. , King , P. , Walker , P. S. and Blunn , G. W. , ( 1997 ). Is oxidation of ultra high molecular weight polyethylene the main cause of delamination wear in total knee replacement . 43rd Annual Meeting, Orthopaedic Research Society , 96 – 16 .
   Google Scholar
• Deng , M. and Shalaby , S. W. , ( 1995 ). Effects of gamma irradiation, gas environments, and post irradiation aging on ultrahigh molecular weight polyethylene . Journal of Applied Polymer Science , 58 , 2111 – 2119 .
   Web of Science ®Google Scholar
• Polineni , V. K. , Essner , A. , Wang , A. , Stark , C. and Dumble-ton , J. H. , ( 1997 ). Effect of sterilization methods on the wear behavior of UHMWPE acetabular cups - A hip joint wear simulator study . 43rd Annual Meeting, Orthopaedic Research Society , 779 .
   Google Scholar
• Collier , J. P. , Mayor , M. B. , McNamara , J. L. , Surprenant , V. A. and Jenses , R. E. , ( 1991 ). Analysis of the failure of 122 polyethylene inserts from uncemented tibial knee components . Clinical Orthopaedics and Related Research , 273 , 232 – 242 .
   PubMed Web of Science ®Google Scholar
• Chillag , K. J. and Barth , E. , ( 1991 ). An analysis of polyethylene thickness in modular total knee components . Clinical Orthopaedics and Related Research , 273 , 261 – 263 .
   Google Scholar
• Blunn , G. W. , Walker , P. S. , Joshi , A. and Hardinge , K. , ( 1991 ). The dominance of cyclic sliding in producing wear in total knee replacements . Clinical Orthopaedics , 273 , 253 – 260 .
   PubMed Web of Science ®Google Scholar
• Engh , G. A. , Dwyer , K. A. and Hanes , C. K. , ( 1992 ). Polyethylene wear of metal-backed tibial components in total and unicompartmental knee prostheses . The Journal of Bone and Joint Surgery , 74B , 9 – 17 .
   Google Scholar
• DeHeer , D. C. and Hillberry , B. M. , ( 1992 ). The effect of thickness and nonlinear material behavior on contact stresses in polyethylene tibial components . 38th Annual Meeting, Orthopaedic Research Society , 327 .
   Google Scholar
• Bartel , D. L. , Rawlinson , J. J. , Burstein , A. H. , Ranawat , C. S. and Flynn , W. F. , ( 1995 ). Stresses in polyethylene components of contemporary total knee replacements . Clinical Orthopaedics and Related Research , 317 , 76 – 82 .
   PubMed Web of Science ®Google Scholar
• Ishikawa , H. , Fujiki , H. and Yasuda , K. , ( 1996 ). Contact analysis of ultra high molecular weight polyethylene articular plate in arthilicial knee joint during gait movement . Journal of Biomechanical Engineering , 118 , 377 – 386 .
   PubMed Web of Science ®Google Scholar
• Sathasivam , S. and Walker , P. S. , ( 1997 ). A computer model with surface friction for the prediction of total knee kinematics . Journal of Biomechanics , 30 ( 2 ), 177 – 184 .
   PubMed Web of Science ®Google Scholar
• Mint , U. , Tsao , A. K. , McCrae , C. R. , Stulberg , S. C. and Wright , T. , ( 1991 ). The arthroscopic evaluation and characteristics of severe polyethylene wear in total knee arthroplasty . Clinical Orthopaedics and Related Research , 273 , 215 – 222 .
   Google Scholar
• Landy , M. and Walker , P. S. , ( 1985 ). Wear in condylar replacement knees - A 10 year follow up . 31st Annual Meeting , Orthopaedics Research Society , 96 .
   Google Scholar
• Bcchlold , J. E. , Soballe , K. , Overgaard , S. , Lewis , J. L. and Gustilo , R. B. , ( 1997 ). Synergy between implant motion and particulate polyethylene in the formation of an aggressive pcriproslhetic membrane . 43rd Annual Meeting , Orthopaedic research Society , 767 .
   Google Scholar
• Dainmak , M. , Hashemi , A. , Shirazi-Adl , A. and Zukor , D. J. , ( 1996 ). Experimental and finite element fixation studies of posts and screws . Engineering Systems Design and Analysis , ASME, PD-Vol. 77 , 11 – 18 .
   Google Scholar
• Gibson , L. J. , ( 1985 ). The Mechanical behavior of cancellous bone . Journal of Biomechanics , 18(5), 317 – 328 .
   PubMed Web of Science ®Google Scholar
• Ashman , R. B. , Rho , J. Y. urner. C. H., ( 1989 ). Anatomical variation of ortholropic clastic moduli of the proximal human tibia . Journal of Biomechanics , 22 , 895 – 900 .
   PubMed Web of Science ®Google Scholar
• Kcavncy , T. M. , Guo , X. E. , Wachtel , E. F. , McMahon , T. A. and Hayes , W. C. , ( 1994 ). Trabecular bone exhibits fully linear elastic behavior and yields at low strains . Journal of Biomechanics , 27 , 1127 – 1136 .
   PubMed Web of Science ®Google Scholar
• Goldstein , S. A. , Wilson , D. L. , Sonstegard , D. A. and Matthews , L. S. , ( 1983 ). The mechanical properties of human tibial trabecular bone as a function of metaphyseal location . Journal of Biomechanics , 16 , 965 – 969 .
   PubMed Web of Science ®Google Scholar
• Little , R. B. , Wevers , H. W. , Siu , D. and Cooke , T. D. V. , ( 1986 ). A three dimensional finite element analysis of the upper tibia . Journal of Biomechanical Engineering , 108 , 111 – 119 .
   PubMed Web of Science ®Google Scholar
• Bartel , D. L. , Bicknell , V. L. and Wright , T. M. , ( 1986 ). The effect of conformity, thickness, and material on stresses in ultra-high molecular weight components for total joint replacement . Journal of Bone and Joint Surgery , 68A , 1041 – 1051 .
   Google Scholar
• McNamara , J. L. , Collier , J. P. , Mayor , M. B. and Jensen , R. E. , ( 1994 ). A comparison of contact pressures in tibial and patellar total knee components before and after service in vivo . Clinical Orthopaedics and Related Research , 299 . 104 – 113 .
   Google Scholar
• American Society for TestingMaterials Standard D638M-94b; Tensile properties of plastic (metric) ( 1994 ). In Annual Book of ASTM standards, part 8.01 , 167 – 175 .
   Google Scholar
• Kurtz , S. M. , Rimnac. C. M., Santner , T. J. and Bartel , D. L. , ( 1996 ). Exponential model for the tensile true, stress-strain behavior of as-irradiated and oxidatively degraded ultra high molecular weight polyethylene . Journal of Orthopaedic Research , 14 , 755 – 761 .
   PubMed Web of Science ®Google Scholar
• Shirazi-Adl , A. , Dammak , M. and Zukor , D. J. , ( 1994 ). Fixation pull-out response measurement of bone screws and porous-surfaced posts . Journal of Biomechanics , 27 , 1249 – 1258 .
   PubMed Web of Science ®Google Scholar
• Morrison , J. B. , ( 1970 ). The mechanics of the knee joint in relation to normal walking . Journal of Biomechanics , 3 , 51 – 61 .
   PubMed Web of Science ®Google Scholar
• Collins , J. J. , ( 1995 ). The redundant nature of locomotor optimization laws . Journal of Biomechanics , 28 , 251 – 67 .
   PubMed Web of Science ®Google Scholar
• Harrington , I. J. , ( 1976 ). A bioengineering analysis of force actions at the knee in normal and pathological gait . Biomedical Engineering , 11 , 167 – 172 .
   PubMedGoogle Scholar
• Kluster , M. S. , Wood , G. A. , Stachowiak , G. W. and Gachter , A. , ( 1997 ). Joint load considerations in total knee replacement . The Journal of Bone and Joint Surgery , 79B , 109 – 113 .
   Web of Science ®Google Scholar
• Taylor , S. J. , Walker , P. S. , Perry , J. , Cannon , S. R. and Woledge , R. , ( 1997 ). The forces in the distal femur and knee during different activities measured by telemetry . 43rd Annual Meeting , Orthopaedic Research Society , 259 .
   Google Scholar
• Benabdallah , S. H. , ( 1993 ). The running-in and steady-state coefficient of friction of some engineering thermoplastics . Polymer Engineering and Science , 33 ( 2 ), 70 – 74 .
   Web of Science ®Google Scholar
• Seedhom , B. B. , Dowson , D. and Wright , V. , ( 1973 ). Wear of solid phase formed high density polyethylene in relation to the life of arthiheial hips and knees . Wear , 24 , 35 – 51 .
   Web of Science ®Google Scholar
• Jones , W. R. , ( 1984 ). Friction and wear properties of a cham-ley artificial hip joint . ASLE Transactions , 28 ( 3 ), 389 – 399 .
   Google Scholar
• Fusaro , R. L. , ( 1983 ). Friction, wear, transfer, and wear sur face morphology of ultrahigh-molecular-weight polyethylene . ASLE Transactions , 28 ( 1 ), 1 – 10 .
   Google Scholar
• Ryd , L. , Lindstrand , A. , Stenstorm , A. and Selvik , G. , ( 1990 ). Porous coated anatomic tricompartmental tibial components the relationship between prosthetic position and micromotion . Clinical Orthopaedics , 251 , 189 – 197 .
   Google Scholar
• Wyalt , R. W. B. , Alpert , J. P. , Daniel , A. U. , Hofmann , A. A. and Dunn , H. K. , ( 1991 ). The effect of screw fixation on the initial rigidity of tibial knee components . Journal of Applied Biomaterials , 2 , 109 – 113 .
   Google Scholar
• Miura , H. , Whiteside , L. A. , Easiey , J. C. and Amador , D. D. , ( 1991 ). Effects of screws and a sleeve on the initial fixation in uncemented total knee tibia components . Clinical Orthopaedic and Related Research , 259 , 160 – 168 .
   Google Scholar
• Kaiser , A. D. and Whiteside , L. A. , ( 1990 ). The effect of screws and pegs on the initial fixation stability of an uncemented unicondylar knee replacement . Clinical Orthopaedics and Related Research , 259 , 169 – 178 .
   Google Scholar
• Lee , R. W. , Volz , R. G. and Sheridan , D. C. , ( 1991 ). The role of fixation and bone quality on the mechanical stability of tibia knee components . Clinical Orthopaedics and Related Research , 273 , 177 – 183 .
   Google Scholar
• Volz , R. G. , Nisbet , L. K. , Lee , R. W. and McMurtry , M. G. , ( 1988 ). The mechanical stability of various noncemented tibial components . Clinical Orthopaedics and Related Research , 226 , 38 – 42 .
   PubMed Web of Science ®Google Scholar
• Sumner , D. R. , Berzins , A. , Turner , T. M. , Igloria , R. and Natarajan , R. N. , ( 1994 ). Initial in vitro stability of the tibial component in a canine model of cementless total knee replacement . Journal of Biomechanics , 27 , 929 – 939 .
   PubMed Web of Science ®Google Scholar
• Pilliar , R. M. , Lee , J. M. and Miniatopoulos , C. , ( 1986 ). Observations of the effects of movement on bone ingrowth into porous-surfaced implants . Clinical Orthopaedic , 208 , 108 – 113 .
   PubMed Web of Science ®Google Scholar
• Jasty , M. , Bragdon, C, Burke , D. , O'Connor , D. , Lowen-stein , J. and Harris , W. H. , ( 1997 ). In vivo skeletal responses to porous-surfaced implants subjected to small induced motions . Journal of Bone and Joint Surgery , 79-A ( 5 ), 707 – 714 .
   Google Scholar
• Cameron , H. U. , Pilliar , R. M. and Macnab , I. , ( 1973 ). The effect of movement on the bonding of porous metal to bone . Journal of Biomedical Materials Research , 7 , 301 – 311 .
   PubMed Web of Science ®Google Scholar
• Ducheyne , P. , DeMeester , P. , Aernoudt , E. , Martens , M. and Mulier , C. , ( 1997 ). Consequences of an interface fit on the fixation of porous-coated tibial components in total knee replacement . Journal of Biomedical Materials Research , 11 , 811 – 838 .
   Google Scholar
• Bourne , R. B. and Finlay , J. B. , The influence of tibia component intramedullary stems and implant - cortex contact on the strain distribution of the proximal tibia following total knee arthroplasty . Clinical Orthopaedic and Related Research , 208 , 95 – 99 .
   Google Scholar
• Morrey , B. F. and Chao , E. Y. S. , ( 1988 ). Fracture of the porous-coated metal tray of a biologically fixed knee prosthesis . Clinical Orthopaedic and Related Research , 228 , 182 – 189 .
   PubMed Web of Science ®Google Scholar
• Szivek , J. A. , Anderson , P. L. and Benjamin , J. B. , ( 1996 ). Average and peak contact stress distribution evaluation of total knee arthroplasties . Journal of Arthroplasty , 11 , 952 – 963 .
   PubMed Web of Science ®Google Scholar
• Hood , R. W. , Wright , T. M. urstein. A. H., ( 1983 ). Retrieval analysis of total knee prostheses method and its application to 48 total condylar prostheses . Journal of Biomedical Materials Research , 17 , 829 – 842 .
   PubMed Web of Science ®Google Scholar
• Heck , D. A. , Clingman , J. K. ellelkamp. D. G., ( 1992 ). gross polyethylene failure in total knee arthroplasty . Orthopaedics , 15 , 23 – 28 .
   PubMed Web of Science ®Google Scholar